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4 years ago

Which sequence of transformations produces a’b’c’ from abc

Mathematics

1 answer:

Kamila [148]4 years ago

4 0

Answer:

A translation up 3 and then a 90º counterclockwise rotation about the origin

Step-by-step explanation:

-Since, we are not given a graph or coordinates of ABC, we will apply our general knowledge of transformations and reflections.

-A Cartesian plane has four quarters within which transformations occur.

- The first translation, $A\prime B\prime C \prime$ is 90° counterclockwise rotation about the origin .

-The second, $A\prime\prime B\prime\prime C \prime\prime$ is 180° counterclockwise rotation about the origin

-The third, $A\prime\prime\prime B\prime\prime\prime C\prime\prime\prime$ IS 270° counterclockwise from rotation about the origin

Hence, a translation up 3 and 90° counterclockwise rotation about the origin will produce $A\prime B\prime C\prime$ from ABC.

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Given the linear programming problem, use the method of corners to determine where the minimum occurs and give the minimum value

algol [13]

Answer:

Minimum value of function $C=x+10y$ is 63 occurs at point (3,6).

Step-by-step explanation:

To minimize :

$C=x+10y$

Subject to constraints:

$x\leq 3---(1)\\y\leq 9---(2)\\x+y\geq 9----(3)\\x\geq 0\\y\geq 0$

Eq (1) is in blue in figure attached and region satisfying (1) is on left of blue line

Eq (2) is in green in figure attached and region satisfying (2) is below the green line

Considering $x+y\geq 9$ , corresponding coordinates point to draw line are (0,9) and (9,0).

Eq (3) makes line in orange in figure attached and region satisfying (3) is above the orange line

Feasible region is in triangle ABC with common points A(0,9), B(3,9) and C(3,6)

Now calculate the value of function to be minimized at each of these points.

$C=x+10y$

at A(0,9)

$C=0+10(9)\\C=90$

at B(3,9)

$C=3+10(9)\\C=93$

at C(3,6)

$C=3+10(6)\\C=63$

Minimum value of function $C=x+10y$ is 63 occurs at point C (3,6).

3 0

4 years ago

PLEse help graph the function

Andrews [41]

Answer:

2+2=4-1=3 quick mafs everyday mans on da block, smoke trees

3 0

3 years ago

Which ordered pair satisfies the system of equations shown below? (10 POINTS + BRAINLIEST ANSWER)

nasty-shy [4]

The answer would be D.
you would start by choosing one of the variables to eliminate, i chose to eliminate X first. in order to eliminate X, i had to multiply the second equation by -2. X then cancelled out, and i solved for the Y the same way you would a 1 step equation. Y=-4
I then took the first original equations, plugged Y in, and solved for X. X=3.

Hope this helps!

7 0

3 years ago

Rewrite expression in the form k*z^n

Alik [6]

Answer:

Step-by-step explanation:

4th root of z = z^1/4

=> 3 * z^1/4

=> 3z^1/4

3z^1/4 * 3z^3/4

=> 3 x 3 x z^1/4 + 3/4

=> 9z^4/4